Chrome: iGoogle is dead and there are a few excellent alternatives, but if you want something that mimics the look of that start page, then iChrome is the closest I have seen yet. Of course, you need to be running Google Chrome and it's not as customizable as iGoogle, but it's still got a few neat functions.

Google is shutting down the super-customizable iGoogle start page on November 1st--this Friday--but …
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iChrome gives you seven widgets: Google search, most-visited tabs, Chrome apps, traffic update, weather update, Wolfram Alpha search, and news. Each of the widgets can be customized, and you can also change the background and the main Google logo in iChrome. In fact, the Google branding and functionality can be removed entirely, and you can set up your favourite search engine as the default search.

The only annoying thing about iChrome is that it requires a bit of setting up. You need to manually drag its link to your Home icon and manually set it as the default start page in Chrome settings. It's a one-time thing, but I've never seen any other New Tab replacement extension ask for that.